Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
KNP
This question asks us to identify the letter cluster that is different from the other three based on a specific pattern or rule. We are given four letter clusters: IMR, KNP, CGX, and FJU.
To find the pattern, let's assign numerical positions to each letter of the alphabet, where A=1, B=2, C=3, and so on, up to Z=26.
| Letter Cluster | Letter Positions |
|---|---|
| IMR | I=9, M=13, R=18 |
| KNP | K=11, N=14, P=16 |
| CGX | C=3, G=7, X=24 |
| FJU | F=6, J=10, U=21 |
Let's examine the difference in alphabetical positions between consecutive letters in each cluster.
Let's compare the patterns we found:
Looking at the difference between the first and second letters, we see the following:
Three of the letter clusters (IMR, CGX, and FJU) have a difference of +4 between their first and second letters. Only KNP has a different difference (+3) between its first and second letters.
Therefore, KNP is the letter cluster that is different from the others.
| Letter Cluster | Letter Positions | 1st-2nd Difference | 2nd-3rd Difference | Pattern |
|---|---|---|---|---|
| IMR | 9, 13, 18 | \( 13 - 9 = 4 \) | \( 18 - 13 = 5 \) | +4, +5 |
| KNP | 11, 14, 16 | \( 14 - 11 = 3 \) | \( 16 - 14 = 2 \) | +3, +2 |
| CGX | 3, 7, 24 | \( 7 - 3 = 4 \) | \( 24 - 7 = 17 \) | +4, +17 |
| FJU | 6, 10, 21 | \( 10 - 6 = 4 \) | \( 21 - 10 = 11 \) | +4, +11 |
The table clearly shows that KNP is the only cluster where the first difference is not +4.
Letter reasoning questions, like finding the odd letter cluster, often rely on understanding the alphabet's structure and positions. Here are some common patterns to look for:
Analyzing these patterns helps identify the rule governing a series or group of letters and find the element that doesn't fit the pattern.
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